Linear Algebra

Table of Contents

• Vectors in two dimensional plane

  • Vector addition

• Vector Spaces

  • Union and intersection of vector spaces

• Basis

  • Linear Algebra, Change of basis
  • A third vector of a basis

• Stochastic Matrices

  • Power method for stochastic matrices (7 iterations.)
  • Power method for stochastic matrices ( 49 iterations.)

• Linear Transformations

  • Linear Transformations Preserve Lines
  • Rotations

• Norms

  • p-norm unit balls in 2D
  • lp-norm unit balls in 3D

• Gram Schmidt Process

  • Gram Schmidt Process for two vectors.